02 خرداد 1403
علي شكري

علی شکری

مرتبه علمی: استاد
نشانی:
تحصیلات: دکترای تخصصی / ریاضی کاربردی
تلفن:
دانشکده: دانشکده علوم پایه

مشخصات پژوهش

عنوان
A new eight-order symmetric two-step multiderivative method for the numerical solution of second-order IVPs with oscillating solutions
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Initial value problems · Multiderivative methods · Second-order IVPs · Phase-lag · Ordinary differential equations · Symmetric multistep methods
سال
2018
مجله NUMERICAL ALGORITHMS
شناسه DOI DOI 10.1007/s11075-017-0306-0
پژوهشگران علی شکری

چکیده

In this paper, we introduce a class of new two-step multiderivative methods for the numerical solution of second-order initial value problems.We generate a twostep, symmetric, multiderivative method of order 8. We also perform a periodicity analysis. In addition, we determine their periodicity regions. Finally, we compare the new methods to the corresponding classical ones and other known methods from the literature, where we show the high efficiency of the new methods.